Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

Zenkour, Ashraf M.

doi:10.3846/13926292.2016.1157835

Cited by 24 publications

(6 citation statements)

References 27 publications

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“…where ω is the angular frequency, i = √ −1; a is the positive wave number in the z direction; and R * , T * , v * , ψ * are the amplitudes depending on the variable z. By using equation (20), the governing equations (16) to (19) are represented as,…”

Section: Normal Mode Analysismentioning

confidence: 99%

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Harmonic waves solution in dual-phase-lag magneto-thermoelasticity

Rafiq

Singh²,

Samreen

et al. 2019

Open Physics

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The current work analyzes the transmission behavior of plane harmonic waves in an isotropic medium. The observation is made for homogeneous type solid in the context of generalized dual phase lag model of thermoelasticity. Concept micro-temperature, where the microelements have different temperatures has also been considered. The basic focus of thework is to predict the influence of initially applied magnetic field on plane waves through the elastic solid. We have made an attempt to find exact solution of the problem using an analytical technique of a normal mode analysis method. The theoretical results are obtained for a generalized solid in order to test the numerical calculation of a magnesium crystal. It is found that the magnetic field reduces the strength of the attenuation factor.

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Section: Normal Mode Analysismentioning

confidence: 99%

“…Some interesting problems related with DPL model are being encountered by Othman [13], Baljeet [14], Model et al [15]. Reflection phenomena and some special effects on waves propagating through thermoelastic medium in context of DPL model, is investigate in detail by Zenkour and his colleagues [16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Harmonic waves solution in dual-phase-lag magneto-thermoelasticity

Rafiq

Singh²,

Samreen

et al. 2019

Open Physics

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“…Tzou [9] suggested a dual phase delay model of the heat conduction (DPL) to combine the effects of infinitesimal interactions in the fast-transient procedure of heat transportation mechanism in a macroscopic design. Two diverse phase-lags have been presented in the constitutive relation among the vector of heat flux and the gradient of the temperature [10].…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Interactions in a Rotating Infinite Orthotropic Elastic Body with a Cylindrical Hole and Variable Thermal Conductivity

Mashat

Zenkour

Abouelregal

2017

Archive of Mechanical Engineering

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In the present article, we introduced a new model of the equations of generalized thermoelasticity for unbounded orthotropic body containing a cylindrical cavity. We applied this model in the context of generalized thermoelasticity with phase-lags under the effect of rotation. In this case, the thermal conductivity of the material is considered to be variable. In addition, the cylinder surface is traction free and subjected to a uniform unit step temperature. Using the Laplace transform technique, the distributions of the temperature, displacement, radial stress and hoop stress are determined. A detailed analysis of the effects of rotation, phase-lags and the variability thermal conductivity parameters on the studied fields is discussed. Numerical results for the studied fields are illustrated graphically in the presence and absence of rotation.

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“…The boundaries of the cylinder are subjected to a time-dependent thermal shock and its surface is traction free. The thermoelastic interactions in this solid in the context of a generalized thermoelasticity with dual-phaselags (DPLs) [19]- [23] has been investigated. The present DPLs model developed by Tzou [24], [25] is an extension to the well-known generalized thermoelasticity theory [26]- [28].…”

Section: Introductionmentioning

confidence: 99%

Effects of Phase-Lags and Variable Thermal Conductivity in a Thermoviscoelastic Solid With a Cylindrical Cavity

Zenkour¹

2016

Honam Mathematical Journal

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Abstract. This paper investigates the effect of dual-phase-lags on a thermoviscoelastic orthotropic solid with a cylindrical cavity. The cylindrical cavity is subjected to a thermal shock varying heat and its material is taken to be of Kelvin-Voigt type. The phase-lag thermoelastic model, Lord and Shulman's model and the coupled thermoelasticity model are employed to study the thermomechanical coupling, thermal and mechanical relaxation (viscous) effects. Numerical solutions for temperature, displacement and thermal stresses are obtained by using the method of Laplace transforms. Numerical results are plotted to illustrate the effect phase-lags, viscoelasticity, and the variability thermal conductivity parameter on the studied fields. The variations of all field quantities in the context of dual-phase-lags and coupled thermoelasticity models follow similar trends while the Lord and Shulman's model may be different. The influence of viscosity parameter and variability of thermal conductivity is very pronounced on temperature and thermal stresses of the thermoviscoelastic solids.

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Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

Cited by 24 publications

References 27 publications

Harmonic waves solution in dual-phase-lag magneto-thermoelasticity

Harmonic waves solution in dual-phase-lag magneto-thermoelasticity

Thermoelastic Interactions in a Rotating Infinite Orthotropic Elastic Body with a Cylindrical Hole and Variable Thermal Conductivity

Effects of Phase-Lags and Variable Thermal Conductivity in a Thermoviscoelastic Solid With a Cylindrical Cavity

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